Answer:
3, 6, 9, 12, 15, 18
Step-by-step explanation:
If you count by threes you can make a Geometric Sequence of 6.
Final answer: 3, 6, 9, 12, 15, 18.
A manufacturer<span> of </span>medical supplies produces 1 liter bags<span> of </span>saline solution. thecost<span> to </span>produce x thousand bags<span> of </span>saline<span> is </span>given<span> by the </span>cost<span> func. ... thousand </span>bags<span> of </span>saline<span> is</span>given<span> by the </span>cost function<span> C(x)=1.7x^2-5.3x+3.2, ...</span>
Answer:
x = 180
Step-by-step explanation:
First, you need to know
1. Double-angle formula:
cos(2x) = ![cos^{2}x - sin^{2}x](https://tex.z-dn.net/?f=cos%5E%7B2%7Dx%20-%20sin%5E%7B2%7Dx)
2. Pythagorean identity:
![cos^{2}x + sin^{2}x = 1](https://tex.z-dn.net/?f=cos%5E%7B2%7Dx%20%2B%20sin%5E%7B2%7Dx%20%3D%201)
Back to your problem, replacing the variable by the above:
![5cosx-sin\frac{x}{2}+7 = 0](https://tex.z-dn.net/?f=5cosx-sin%5Cfrac%7Bx%7D%7B2%7D%2B7%20%3D%200)
By Double-angle formula
By Pythagorean identity
Given ![y = \frac{x}{2}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7Bx%7D%7B2%7D)
![5(1-2sin^{2}y) - 2siny + 7 = 0](https://tex.z-dn.net/?f=5%281-2sin%5E%7B2%7Dy%29%20-%202siny%20%2B%207%20%3D%200)
![10sin^{2}y+2siny-12=0](https://tex.z-dn.net/?f=10sin%5E%7B2%7Dy%2B2siny-12%3D0)
![5sin^{2}y+siny-6=0](https://tex.z-dn.net/?f=5sin%5E%7B2%7Dy%2Bsiny-6%3D0)
, we know -1 < sinx < 1, for every x ∈ R
![siny = 1, y =90](https://tex.z-dn.net/?f=siny%20%3D%201%2C%20y%20%3D90%20)
![y = \frac{x}{2}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7Bx%7D%7B2%7D)
![x = 180](https://tex.z-dn.net/?f=x%20%3D%20180)